What is the Greatest Common Factor of 62776 and 62780?

Greatest common factor (GCF) of 62776 and 62780 is 4.

GCF(62776,62780) = 4

We will now calculate the prime factors of 62776 and 62780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62776 and 62780.

How to find the GCF of 62776 and 62780?

We will first find the prime factorization of 62776 and 62780. After we will calculate the factors of 62776 and 62780 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62780

Prime factors of 62780 are 2, 5, 43, 73. Prime factorization of 62780 in exponential form is:

62780 = 2² × 5¹ × 43¹ × 73¹

Step-3: Factors of 62776

List of positive integer factors of 62776 that divides 62776 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

Step-4: Factors of 62780

List of positive integer factors of 62780 that divides 62776 without a remainder.

1, 2, 4, 5, 10, 20, 43, 73, 86, 146, 172, 215, 292, 365, 430, 730, 860, 1460, 3139, 6278, 12556, 15695, 31390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62776 and 62780. The biggest common factor number is the GCF number.
So the greatest common factor 62776 and 62780 is 4.

Also check out the Least Common Multiple of 62776 and 62780