What is the Greatest Common Factor of 71488 and 71502?

Greatest common factor (GCF) of 71488 and 71502 is 2.

GCF(71488,71502) = 2

We will now calculate the prime factors of 71488 and 71502, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71488 and 71502.

How to find the GCF of 71488 and 71502?

We will first find the prime factorization of 71488 and 71502. After we will calculate the factors of 71488 and 71502 and find the biggest common factor number .

Step-1: Prime Factorization of 71488

Prime factors of 71488 are 2, 1117. Prime factorization of 71488 in exponential form is:

71488 = 2⁶ × 1117¹

Step-2: Prime Factorization of 71502

Prime factors of 71502 are 2, 3, 17, 701. Prime factorization of 71502 in exponential form is:

71502 = 2¹ × 3¹ × 17¹ × 701¹

Step-3: Factors of 71488

List of positive integer factors of 71488 that divides 71488 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1117, 2234, 4468, 8936, 17872, 35744

Step-4: Factors of 71502

List of positive integer factors of 71502 that divides 71488 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 701, 1402, 2103, 4206, 11917, 23834, 35751

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71488 and 71502. The biggest common factor number is the GCF number.
So the greatest common factor 71488 and 71502 is 2.

Also check out the Least Common Multiple of 71488 and 71502