What is the Greatest Common Factor of 53520 and 53538?

Greatest common factor (GCF) of 53520 and 53538 is 6.

GCF(53520,53538) = 6

We will now calculate the prime factors of 53520 and 53538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53520 and 53538.

How to find the GCF of 53520 and 53538?

We will first find the prime factorization of 53520 and 53538. After we will calculate the factors of 53520 and 53538 and find the biggest common factor number .

Step-1: Prime Factorization of 53520

Prime factors of 53520 are 2, 3, 5, 223. Prime factorization of 53520 in exponential form is:

53520 = 2⁴ × 3¹ × 5¹ × 223¹

Step-2: Prime Factorization of 53538

Prime factors of 53538 are 2, 3, 8923. Prime factorization of 53538 in exponential form is:

53538 = 2¹ × 3¹ × 8923¹

Step-3: Factors of 53520

List of positive integer factors of 53520 that divides 53520 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 223, 240, 446, 669, 892, 1115, 1338, 1784, 2230, 2676, 3345, 3568, 4460, 5352, 6690, 8920, 10704, 13380, 17840, 26760

Step-4: Factors of 53538

List of positive integer factors of 53538 that divides 53520 without a remainder.

1, 2, 3, 6, 8923, 17846, 26769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53520 and 53538. The biggest common factor number is the GCF number.
So the greatest common factor 53520 and 53538 is 6.

Also check out the Least Common Multiple of 53520 and 53538