What is the Greatest Common Factor of 53074 and 53080?

Greatest common factor (GCF) of 53074 and 53080 is 2.

GCF(53074,53080) = 2

We will now calculate the prime factors of 53074 and 53080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53074 and 53080.

How to find the GCF of 53074 and 53080?

We will first find the prime factorization of 53074 and 53080. After we will calculate the factors of 53074 and 53080 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 53080

Prime factors of 53080 are 2, 5, 1327. Prime factorization of 53080 in exponential form is:

53080 = 2³ × 5¹ × 1327¹

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 53080

List of positive integer factors of 53080 that divides 53074 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1327, 2654, 5308, 6635, 10616, 13270, 26540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53074 and 53080. The biggest common factor number is the GCF number.
So the greatest common factor 53074 and 53080 is 2.

Also check out the Least Common Multiple of 53074 and 53080