What is the Greatest Common Factor of 53604 and 53610?

Greatest common factor (GCF) of 53604 and 53610 is 6.

GCF(53604,53610) = 6

We will now calculate the prime factors of 53604 and 53610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53604 and 53610.

How to find the GCF of 53604 and 53610?

We will first find the prime factorization of 53604 and 53610. After we will calculate the factors of 53604 and 53610 and find the biggest common factor number .

Step-1: Prime Factorization of 53604

Prime factors of 53604 are 2, 3, 1489. Prime factorization of 53604 in exponential form is:

53604 = 2² × 3² × 1489¹

Step-2: Prime Factorization of 53610

Prime factors of 53610 are 2, 3, 5, 1787. Prime factorization of 53610 in exponential form is:

53610 = 2¹ × 3¹ × 5¹ × 1787¹

Step-3: Factors of 53604

List of positive integer factors of 53604 that divides 53604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1489, 2978, 4467, 5956, 8934, 13401, 17868, 26802

Step-4: Factors of 53610

List of positive integer factors of 53610 that divides 53604 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1787, 3574, 5361, 8935, 10722, 17870, 26805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53604 and 53610. The biggest common factor number is the GCF number.
So the greatest common factor 53604 and 53610 is 6.

Also check out the Least Common Multiple of 53604 and 53610