What is the Greatest Common Factor of 71022 and 71036?

Greatest common factor (GCF) of 71022 and 71036 is 14.

GCF(71022,71036) = 14

We will now calculate the prime factors of 71022 and 71036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71022 and 71036.

How to find the GCF of 71022 and 71036?

We will first find the prime factorization of 71022 and 71036. After we will calculate the factors of 71022 and 71036 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 71036

Prime factors of 71036 are 2, 7, 43, 59. Prime factorization of 71036 in exponential form is:

71036 = 2² × 7¹ × 43¹ × 59¹

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 71036

List of positive integer factors of 71036 that divides 71022 without a remainder.

1, 2, 4, 7, 14, 28, 43, 59, 86, 118, 172, 236, 301, 413, 602, 826, 1204, 1652, 2537, 5074, 10148, 17759, 35518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71022 and 71036. The biggest common factor number is the GCF number.
So the greatest common factor 71022 and 71036 is 14.

Also check out the Least Common Multiple of 71022 and 71036