What is the Greatest Common Factor of 71022 and 71037?

Greatest common factor (GCF) of 71022 and 71037 is 3.

GCF(71022,71037) = 3

We will now calculate the prime factors of 71022 and 71037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71022 and 71037.

How to find the GCF of 71022 and 71037?

We will first find the prime factorization of 71022 and 71037. After we will calculate the factors of 71022 and 71037 and find the biggest common factor number .

Step-1: Prime Factorization of 71022

Prime factors of 71022 are 2, 3, 7, 19, 89. Prime factorization of 71022 in exponential form is:

71022 = 2¹ × 3¹ × 7¹ × 19¹ × 89¹

Step-2: Prime Factorization of 71037

Prime factors of 71037 are 3, 877. Prime factorization of 71037 in exponential form is:

71037 = 3⁴ × 877¹

Step-3: Factors of 71022

List of positive integer factors of 71022 that divides 71022 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 89, 114, 133, 178, 266, 267, 399, 534, 623, 798, 1246, 1691, 1869, 3382, 3738, 5073, 10146, 11837, 23674, 35511

Step-4: Factors of 71037

List of positive integer factors of 71037 that divides 71022 without a remainder.

1, 3, 9, 27, 81, 877, 2631, 7893, 23679

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71022 and 71037. The biggest common factor number is the GCF number.
So the greatest common factor 71022 and 71037 is 3.

Also check out the Least Common Multiple of 71022 and 71037