What is the Greatest Common Factor of 71260 and 71274?

Greatest common factor (GCF) of 71260 and 71274 is 14.

GCF(71260,71274) = 14

We will now calculate the prime factors of 71260 and 71274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71260 and 71274.

How to find the GCF of 71260 and 71274?

We will first find the prime factorization of 71260 and 71274. After we will calculate the factors of 71260 and 71274 and find the biggest common factor number .

Step-1: Prime Factorization of 71260

Prime factors of 71260 are 2, 5, 7, 509. Prime factorization of 71260 in exponential form is:

71260 = 2² × 5¹ × 7¹ × 509¹

Step-2: Prime Factorization of 71274

Prime factors of 71274 are 2, 3, 7, 1697. Prime factorization of 71274 in exponential form is:

71274 = 2¹ × 3¹ × 7¹ × 1697¹

Step-3: Factors of 71260

List of positive integer factors of 71260 that divides 71260 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 509, 1018, 2036, 2545, 3563, 5090, 7126, 10180, 14252, 17815, 35630

Step-4: Factors of 71274

List of positive integer factors of 71274 that divides 71260 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1697, 3394, 5091, 10182, 11879, 23758, 35637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71260 and 71274. The biggest common factor number is the GCF number.
So the greatest common factor 71260 and 71274 is 14.

Also check out the Least Common Multiple of 71260 and 71274