What is the Greatest Common Factor of 62475 and 62480?

Greatest common factor (GCF) of 62475 and 62480 is 5.

GCF(62475,62480) = 5

We will now calculate the prime factors of 62475 and 62480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62475 and 62480.

How to find the GCF of 62475 and 62480?

We will first find the prime factorization of 62475 and 62480. After we will calculate the factors of 62475 and 62480 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62480

Prime factors of 62480 are 2, 5, 11, 71. Prime factorization of 62480 in exponential form is:

62480 = 2⁴ × 5¹ × 11¹ × 71¹

Step-3: Factors of 62475

List of positive integer factors of 62475 that divides 62475 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

Step-4: Factors of 62480

List of positive integer factors of 62480 that divides 62475 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 71, 80, 88, 110, 142, 176, 220, 284, 355, 440, 568, 710, 781, 880, 1136, 1420, 1562, 2840, 3124, 3905, 5680, 6248, 7810, 12496, 15620, 31240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62475 and 62480. The biggest common factor number is the GCF number.
So the greatest common factor 62475 and 62480 is 5.

Also check out the Least Common Multiple of 62475 and 62480