What is the Greatest Common Factor of 53066 and 53074?

Greatest common factor (GCF) of 53066 and 53074 is 2.

GCF(53066,53074) = 2

We will now calculate the prime factors of 53066 and 53074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53066 and 53074.

How to find the GCF of 53066 and 53074?

We will first find the prime factorization of 53066 and 53074. After we will calculate the factors of 53066 and 53074 and find the biggest common factor number .

Step-1: Prime Factorization of 53066

Prime factors of 53066 are 2, 13, 157. Prime factorization of 53066 in exponential form is:

53066 = 2¹ × 13² × 157¹

Step-2: 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-3: Factors of 53066

List of positive integer factors of 53066 that divides 53066 without a remainder.

1, 2, 13, 26, 157, 169, 314, 338, 2041, 4082, 26533

Step-4: Factors of 53074

List of positive integer factors of 53074 that divides 53066 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53066 and 53074. The biggest common factor number is the GCF number.
So the greatest common factor 53066 and 53074 is 2.

Also check out the Least Common Multiple of 53066 and 53074