What is the Greatest Common Factor of 62377 and 62396?

Greatest common factor (GCF) of 62377 and 62396 is 19.

GCF(62377,62396) = 19

We will now calculate the prime factors of 62377 and 62396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62377 and 62396.

How to find the GCF of 62377 and 62396?

We will first find the prime factorization of 62377 and 62396. After we will calculate the factors of 62377 and 62396 and find the biggest common factor number .

Step-1: Prime Factorization of 62377

Prime factors of 62377 are 7, 19, 67. Prime factorization of 62377 in exponential form is:

62377 = 7² × 19¹ × 67¹

Step-2: Prime Factorization of 62396

Prime factors of 62396 are 2, 19, 821. Prime factorization of 62396 in exponential form is:

62396 = 2² × 19¹ × 821¹

Step-3: Factors of 62377

List of positive integer factors of 62377 that divides 62377 without a remainder.

1, 7, 19, 49, 67, 133, 469, 931, 1273, 3283, 8911

Step-4: Factors of 62396

List of positive integer factors of 62396 that divides 62377 without a remainder.

1, 2, 4, 19, 38, 76, 821, 1642, 3284, 15599, 31198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62377 and 62396. The biggest common factor number is the GCF number.
So the greatest common factor 62377 and 62396 is 19.

Also check out the Least Common Multiple of 62377 and 62396