What is the Greatest Common Factor of 62363 and 62377?

Greatest common factor (GCF) of 62363 and 62377 is 7.

GCF(62363,62377) = 7

We will now calculate the prime factors of 62363 and 62377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62363 and 62377.

How to find the GCF of 62363 and 62377?

We will first find the prime factorization of 62363 and 62377. After we will calculate the factors of 62363 and 62377 and find the biggest common factor number .

Step-1: Prime Factorization of 62363

Prime factors of 62363 are 7, 59, 151. Prime factorization of 62363 in exponential form is:

62363 = 7¹ × 59¹ × 151¹

Step-2: 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-3: Factors of 62363

List of positive integer factors of 62363 that divides 62363 without a remainder.

1, 7, 59, 151, 413, 1057, 8909

Step-4: Factors of 62377

List of positive integer factors of 62377 that divides 62363 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62363 and 62377. The biggest common factor number is the GCF number.
So the greatest common factor 62363 and 62377 is 7.

Also check out the Least Common Multiple of 62363 and 62377