What is the Greatest Common Factor of 71492 and 71506?

Greatest common factor (GCF) of 71492 and 71506 is 2.

GCF(71492,71506) = 2

We will now calculate the prime factors of 71492 and 71506, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71492 and 71506.

How to find the GCF of 71492 and 71506?

We will first find the prime factorization of 71492 and 71506. After we will calculate the factors of 71492 and 71506 and find the biggest common factor number .

Step-1: Prime Factorization of 71492

Prime factors of 71492 are 2, 61, 293. Prime factorization of 71492 in exponential form is:

71492 = 2² × 61¹ × 293¹

Step-2: Prime Factorization of 71506

Prime factors of 71506 are 2, 35753. Prime factorization of 71506 in exponential form is:

71506 = 2¹ × 35753¹

Step-3: Factors of 71492

List of positive integer factors of 71492 that divides 71492 without a remainder.

1, 2, 4, 61, 122, 244, 293, 586, 1172, 17873, 35746

Step-4: Factors of 71506

List of positive integer factors of 71506 that divides 71492 without a remainder.

1, 2, 35753

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71492 and 71506. The biggest common factor number is the GCF number.
So the greatest common factor 71492 and 71506 is 2.

Also check out the Least Common Multiple of 71492 and 71506