What is the Greatest Common Factor of 62764 and 62776?

Greatest common factor (GCF) of 62764 and 62776 is 4.

GCF(62764,62776) = 4

We will now calculate the prime factors of 62764 and 62776, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62764 and 62776.

How to find the GCF of 62764 and 62776?

We will first find the prime factorization of 62764 and 62776. After we will calculate the factors of 62764 and 62776 and find the biggest common factor number .

Step-1: Prime Factorization of 62764

Prime factors of 62764 are 2, 13, 17, 71. Prime factorization of 62764 in exponential form is:

62764 = 2² × 13¹ × 17¹ × 71¹

Step-2: Prime Factorization of 62776

Prime factors of 62776 are 2, 7, 19, 59. Prime factorization of 62776 in exponential form is:

62776 = 2³ × 7¹ × 19¹ × 59¹

Step-3: Factors of 62764

List of positive integer factors of 62764 that divides 62764 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 71, 142, 221, 284, 442, 884, 923, 1207, 1846, 2414, 3692, 4828, 15691, 31382

Step-4: Factors of 62776

List of positive integer factors of 62776 that divides 62764 without a remainder.

1, 2, 4, 7, 8, 14, 19, 28, 38, 56, 59, 76, 118, 133, 152, 236, 266, 413, 472, 532, 826, 1064, 1121, 1652, 2242, 3304, 4484, 7847, 8968, 15694, 31388

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62764 and 62776. The biggest common factor number is the GCF number.
So the greatest common factor 62764 and 62776 is 4.

Also check out the Least Common Multiple of 62764 and 62776