What is the Greatest Common Factor of 62680 and 62700?
Greatest common factor (GCF) of 62680 and 62700 is 20.
GCF(62680,62700) = 20
We will now calculate the prime factors of 62680 and 62700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62680 and 62700.
How to find the GCF of 62680 and 62700?
We will first find the prime factorization of 62680 and 62700. After we will calculate the factors of 62680 and 62700 and find the biggest common factor number .
Step-1: Prime Factorization of 62680
Prime factors of 62680 are 2, 5, 1567. Prime factorization of 62680 in exponential form is:
62680 = 23 × 51 × 15671
Step-2: Prime Factorization of 62700
Prime factors of 62700 are 2, 3, 5, 11, 19. Prime factorization of 62700 in exponential form is:
62700 = 22 × 31 × 52 × 111 × 191
Step-3: Factors of 62680
List of positive integer factors of 62680 that divides 62680 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40, 1567, 3134, 6268, 7835, 12536, 15670, 31340
Step-4: Factors of 62700
List of positive integer factors of 62700 that divides 62680 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 19, 20, 22, 25, 30, 33, 38, 44, 50, 55, 57, 60, 66, 75, 76, 95, 100, 110, 114, 132, 150, 165, 190, 209, 220, 228, 275, 285, 300, 330, 380, 418, 475, 550, 570, 627, 660, 825, 836, 950, 1045, 1100, 1140, 1254, 1425, 1650, 1900, 2090, 2508, 2850, 3135, 3300, 4180, 5225, 5700, 6270, 10450, 12540, 15675, 20900, 31350
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 62680 and 62700. The biggest common factor number is the GCF number.
So the greatest common factor 62680 and 62700 is 20.
Also check out the Least Common Multiple of 62680 and 62700
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