What is the Greatest Common Factor of 53658 and 53674?

Greatest common factor (GCF) of 53658 and 53674 is 2.

GCF(53658,53674) = 2

We will now calculate the prime factors of 53658 and 53674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53658 and 53674.

How to find the GCF of 53658 and 53674?

We will first find the prime factorization of 53658 and 53674. After we will calculate the factors of 53658 and 53674 and find the biggest common factor number .

Step-1: Prime Factorization of 53658

Prime factors of 53658 are 2, 3, 11, 271. Prime factorization of 53658 in exponential form is:

53658 = 2¹ × 3² × 11¹ × 271¹

Step-2: Prime Factorization of 53674

Prime factors of 53674 are 2, 47, 571. Prime factorization of 53674 in exponential form is:

53674 = 2¹ × 47¹ × 571¹

Step-3: Factors of 53658

List of positive integer factors of 53658 that divides 53658 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198, 271, 542, 813, 1626, 2439, 2981, 4878, 5962, 8943, 17886, 26829

Step-4: Factors of 53674

List of positive integer factors of 53674 that divides 53658 without a remainder.

1, 2, 47, 94, 571, 1142, 26837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53658 and 53674. The biggest common factor number is the GCF number.
So the greatest common factor 53658 and 53674 is 2.

Also check out the Least Common Multiple of 53658 and 53674