What is the Greatest Common Factor of 53074 and 53091?

Greatest common factor (GCF) of 53074 and 53091 is 17.

GCF(53074,53091) = 17

We will now calculate the prime factors of 53074 and 53091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53074 and 53091.

How to find the GCF of 53074 and 53091?

We will first find the prime factorization of 53074 and 53091. After we will calculate the factors of 53074 and 53091 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 53091

Prime factors of 53091 are 3, 17, 347. Prime factorization of 53091 in exponential form is:

53091 = 3² × 17¹ × 347¹

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 53091

List of positive integer factors of 53091 that divides 53074 without a remainder.

1, 3, 9, 17, 51, 153, 347, 1041, 3123, 5899, 17697

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53074 and 53091. The biggest common factor number is the GCF number.
So the greatest common factor 53074 and 53091 is 17.

Also check out the Least Common Multiple of 53074 and 53091