What is the Greatest Common Factor of 77282 and 77300?
Greatest common factor (GCF) of 77282 and 77300 is 2.
GCF(77282,77300) = 2
We will now calculate the prime factors of 77282 and 77300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77282 and 77300.
How to find the GCF of 77282 and 77300?
We will first find the prime factorization of 77282 and 77300. After we will calculate the factors of 77282 and 77300 and find the biggest common factor number .
Step-1: Prime Factorization of 77282
Prime factors of 77282 are 2, 17, 2273. Prime factorization of 77282 in exponential form is:
77282 = 21 × 171 × 22731
Step-2: Prime Factorization of 77300
Prime factors of 77300 are 2, 5, 773. Prime factorization of 77300 in exponential form is:
77300 = 22 × 52 × 7731
Step-3: Factors of 77282
List of positive integer factors of 77282 that divides 77282 without a remainder.
1, 2, 17, 34, 2273, 4546, 38641
Step-4: Factors of 77300
List of positive integer factors of 77300 that divides 77282 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 773, 1546, 3092, 3865, 7730, 15460, 19325, 38650
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 77282 and 77300. The biggest common factor number is the GCF number.
So the greatest common factor 77282 and 77300 is 2.
Also check out the Least Common Multiple of 77282 and 77300
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