What is the Greatest Common Factor of 53110 and 53120?

Greatest common factor (GCF) of 53110 and 53120 is 10.

GCF(53110,53120) = 10

We will now calculate the prime factors of 53110 and 53120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53110 and 53120.

How to find the GCF of 53110 and 53120?

We will first find the prime factorization of 53110 and 53120. After we will calculate the factors of 53110 and 53120 and find the biggest common factor number .

Step-1: Prime Factorization of 53110

Prime factors of 53110 are 2, 5, 47, 113. Prime factorization of 53110 in exponential form is:

53110 = 2¹ × 5¹ × 47¹ × 113¹

Step-2: Prime Factorization of 53120

Prime factors of 53120 are 2, 5, 83. Prime factorization of 53120 in exponential form is:

53120 = 2⁷ × 5¹ × 83¹

Step-3: Factors of 53110

List of positive integer factors of 53110 that divides 53110 without a remainder.

1, 2, 5, 10, 47, 94, 113, 226, 235, 470, 565, 1130, 5311, 10622, 26555

Step-4: Factors of 53120

List of positive integer factors of 53120 that divides 53110 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 83, 128, 160, 166, 320, 332, 415, 640, 664, 830, 1328, 1660, 2656, 3320, 5312, 6640, 10624, 13280, 26560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53110 and 53120. The biggest common factor number is the GCF number.
So the greatest common factor 53110 and 53120 is 10.

Also check out the Least Common Multiple of 53110 and 53120