What is the Greatest Common Factor of 62480 and 62484?

Greatest common factor (GCF) of 62480 and 62484 is 4.

GCF(62480,62484) = 4

We will now calculate the prime factors of 62480 and 62484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62480 and 62484.

How to find the GCF of 62480 and 62484?

We will first find the prime factorization of 62480 and 62484. After we will calculate the factors of 62480 and 62484 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 62484

Prime factors of 62484 are 2, 3, 41, 127. Prime factorization of 62484 in exponential form is:

62484 = 2² × 3¹ × 41¹ × 127¹

Step-3: Factors of 62480

List of positive integer factors of 62480 that divides 62480 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

Step-4: Factors of 62484

List of positive integer factors of 62484 that divides 62480 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 127, 164, 246, 254, 381, 492, 508, 762, 1524, 5207, 10414, 15621, 20828, 31242

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 62480 and 62484. The biggest common factor number is the GCF number.
So the greatest common factor 62480 and 62484 is 4.

Also check out the Least Common Multiple of 62480 and 62484