What is the Greatest Common Factor of 53074 and 53082?

Greatest common factor (GCF) of 53074 and 53082 is 2.

GCF(53074,53082) = 2

We will now calculate the prime factors of 53074 and 53082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53074 and 53082.

How to find the GCF of 53074 and 53082?

We will first find the prime factorization of 53074 and 53082. After we will calculate the factors of 53074 and 53082 and find the biggest common factor number .

Step-1: Prime Factorization of 53074

Prime factors of 53074 are 2, 7, 17, 223. Prime factorization of 53074 in exponential form is:

53074 = 2¹ × 7¹ × 17¹ × 223¹

Step-2: Prime Factorization of 53082

Prime factors of 53082 are 2, 3, 983. Prime factorization of 53082 in exponential form is:

53082 = 2¹ × 3³ × 983¹

Step-3: Factors of 53074

List of positive integer factors of 53074 that divides 53074 without a remainder.

1, 2, 7, 14, 17, 34, 119, 223, 238, 446, 1561, 3122, 3791, 7582, 26537

Step-4: Factors of 53082

List of positive integer factors of 53082 that divides 53074 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 983, 1966, 2949, 5898, 8847, 17694, 26541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53074 and 53082. The biggest common factor number is the GCF number.
So the greatest common factor 53074 and 53082 is 2.

Also check out the Least Common Multiple of 53074 and 53082