What is the Greatest Common Factor of 53872 and 53879?

Greatest common factor (GCF) of 53872 and 53879 is 7.

GCF(53872,53879) = 7

We will now calculate the prime factors of 53872 and 53879, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53872 and 53879.

How to find the GCF of 53872 and 53879?

We will first find the prime factorization of 53872 and 53879. After we will calculate the factors of 53872 and 53879 and find the biggest common factor number .

Step-1: Prime Factorization of 53872

Prime factors of 53872 are 2, 7, 13, 37. Prime factorization of 53872 in exponential form is:

53872 = 2⁴ × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 53879

Prime factors of 53879 are 7, 43, 179. Prime factorization of 53879 in exponential form is:

53879 = 7¹ × 43¹ × 179¹

Step-3: Factors of 53872

List of positive integer factors of 53872 that divides 53872 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 37, 52, 56, 74, 91, 104, 112, 148, 182, 208, 259, 296, 364, 481, 518, 592, 728, 962, 1036, 1456, 1924, 2072, 3367, 3848, 4144, 6734, 7696, 13468, 26936

Step-4: Factors of 53879

List of positive integer factors of 53879 that divides 53872 without a remainder.

1, 7, 43, 179, 301, 1253, 7697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53872 and 53879. The biggest common factor number is the GCF number.
So the greatest common factor 53872 and 53879 is 7.

Also check out the Least Common Multiple of 53872 and 53879