What is the Greatest Common Factor of 62465 and 62475?

Greatest common factor (GCF) of 62465 and 62475 is 5.

GCF(62465,62475) = 5

We will now calculate the prime factors of 62465 and 62475, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62465 and 62475.

How to find the GCF of 62465 and 62475?

We will first find the prime factorization of 62465 and 62475. After we will calculate the factors of 62465 and 62475 and find the biggest common factor number .

Step-1: Prime Factorization of 62465

Prime factors of 62465 are 5, 13, 31. Prime factorization of 62465 in exponential form is:

62465 = 5¹ × 13¹ × 31²

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 62465

List of positive integer factors of 62465 that divides 62465 without a remainder.

1, 5, 13, 31, 65, 155, 403, 961, 2015, 4805, 12493

Step-4: Factors of 62475

List of positive integer factors of 62475 that divides 62465 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 62465 and 62475. The biggest common factor number is the GCF number.
So the greatest common factor 62465 and 62475 is 5.

Also check out the Least Common Multiple of 62465 and 62475