What is the Greatest Common Factor of 62464 and 62480?

Greatest common factor (GCF) of 62464 and 62480 is 16.

GCF(62464,62480) = 16

We will now calculate the prime factors of 62464 and 62480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 62464 and 62480.

How to find the GCF of 62464 and 62480?

We will first find the prime factorization of 62464 and 62480. After we will calculate the factors of 62464 and 62480 and find the biggest common factor number .

Step-1: Prime Factorization of 62464

Prime factors of 62464 are 2, 61. Prime factorization of 62464 in exponential form is:

62464 = 2¹⁰ × 61¹

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 62464

List of positive integer factors of 62464 that divides 62464 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 512, 976, 1024, 1952, 3904, 7808, 15616, 31232

Step-4: Factors of 62480

List of positive integer factors of 62480 that divides 62464 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 62464 and 62480. The biggest common factor number is the GCF number.
So the greatest common factor 62464 and 62480 is 16.

Also check out the Least Common Multiple of 62464 and 62480