What is the Greatest Common Factor of 71022 and 71038?

Greatest common factor (GCF) of 71022 and 71038 is 2.

GCF(71022,71038) = 2

We will now calculate the prime factors of 71022 and 71038, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71022 and 71038.

How to find the GCF of 71022 and 71038?

We will first find the prime factorization of 71022 and 71038. After we will calculate the factors of 71022 and 71038 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 71038

Prime factors of 71038 are 2, 11, 3229. Prime factorization of 71038 in exponential form is:

71038 = 2¹ × 11¹ × 3229¹

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 71038

List of positive integer factors of 71038 that divides 71022 without a remainder.

1, 2, 11, 22, 3229, 6458, 35519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71022 and 71038. The biggest common factor number is the GCF number.
So the greatest common factor 71022 and 71038 is 2.

Also check out the Least Common Multiple of 71022 and 71038