What is the Greatest Common Factor of 72812 and 72820?
Greatest common factor (GCF) of 72812 and 72820 is 4.
GCF(72812,72820) = 4
We will now calculate the prime factors of 72812 and 72820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72812 and 72820.
How to find the GCF of 72812 and 72820?
We will first find the prime factorization of 72812 and 72820. After we will calculate the factors of 72812 and 72820 and find the biggest common factor number .
Step-1: Prime Factorization of 72812
Prime factors of 72812 are 2, 109, 167. Prime factorization of 72812 in exponential form is:
72812 = 22 × 1091 × 1671
Step-2: Prime Factorization of 72820
Prime factors of 72820 are 2, 5, 11, 331. Prime factorization of 72820 in exponential form is:
72820 = 22 × 51 × 111 × 3311
Step-3: Factors of 72812
List of positive integer factors of 72812 that divides 72812 without a remainder.
1, 2, 4, 109, 167, 218, 334, 436, 668, 18203, 36406
Step-4: Factors of 72820
List of positive integer factors of 72820 that divides 72812 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 331, 662, 1324, 1655, 3310, 3641, 6620, 7282, 14564, 18205, 36410
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 72812 and 72820. The biggest common factor number is the GCF number.
So the greatest common factor 72812 and 72820 is 4.
Also check out the Least Common Multiple of 72812 and 72820
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