What is the Greatest Common Factor of 62760 and 62772?

Greatest common factor (GCF) of 62760 and 62772 is 12.

GCF(62760,62772) = 12

We will now calculate the prime factors of 62760 and 62772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62760 and 62772.

How to find the GCF of 62760 and 62772?

We will first find the prime factorization of 62760 and 62772. After we will calculate the factors of 62760 and 62772 and find the biggest common factor number .

Step-1: Prime Factorization of 62760

Prime factors of 62760 are 2, 3, 5, 523. Prime factorization of 62760 in exponential form is:

62760 = 2³ × 3¹ × 5¹ × 523¹

Step-2: Prime Factorization of 62772

Prime factors of 62772 are 2, 3, 5231. Prime factorization of 62772 in exponential form is:

62772 = 2² × 3¹ × 5231¹

Step-3: Factors of 62760

List of positive integer factors of 62760 that divides 62760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 523, 1046, 1569, 2092, 2615, 3138, 4184, 5230, 6276, 7845, 10460, 12552, 15690, 20920, 31380

Step-4: Factors of 62772

List of positive integer factors of 62772 that divides 62760 without a remainder.

1, 2, 3, 4, 6, 12, 5231, 10462, 15693, 20924, 31386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62760 and 62772. The biggest common factor number is the GCF number.
So the greatest common factor 62760 and 62772 is 12.

Also check out the Least Common Multiple of 62760 and 62772