What is the Greatest Common Factor of 62465 and 62480?

Greatest common factor (GCF) of 62465 and 62480 is 5.

GCF(62465,62480) = 5

We will now calculate the prime factors of 62465 and 62480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62465 and 62480.

How to find the GCF of 62465 and 62480?

We will first find the prime factorization of 62465 and 62480. After we will calculate the factors of 62465 and 62480 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 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 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 62480

List of positive integer factors of 62480 that divides 62465 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 62465 and 62480. The biggest common factor number is the GCF number.
So the greatest common factor 62465 and 62480 is 5.

Also check out the Least Common Multiple of 62465 and 62480