What is the Greatest Common Factor of 62461 and 62475?

Greatest common factor (GCF) of 62461 and 62475 is 7.

GCF(62461,62475) = 7

We will now calculate the prime factors of 62461 and 62475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62461 and 62475.

How to find the GCF of 62461 and 62475?

We will first find the prime factorization of 62461 and 62475. After we will calculate the factors of 62461 and 62475 and find the biggest common factor number .

Step-1: Prime Factorization of 62461

Prime factors of 62461 are 7, 8923. Prime factorization of 62461 in exponential form is:

62461 = 7¹ × 8923¹

Step-2: Prime Factorization of 62475

Prime factors of 62475 are 3, 5, 7, 17. Prime factorization of 62475 in exponential form is:

62475 = 3¹ × 5² × 7² × 17¹

Step-3: Factors of 62461

List of positive integer factors of 62461 that divides 62461 without a remainder.

1, 7, 8923

Step-4: Factors of 62475

List of positive integer factors of 62475 that divides 62461 without a remainder.

1, 3, 5, 7, 15, 17, 21, 25, 35, 49, 51, 75, 85, 105, 119, 147, 175, 245, 255, 357, 425, 525, 595, 735, 833, 1225, 1275, 1785, 2499, 2975, 3675, 4165, 8925, 12495, 20825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62461 and 62475. The biggest common factor number is the GCF number.
So the greatest common factor 62461 and 62475 is 7.

Also check out the Least Common Multiple of 62461 and 62475