What is the Greatest Common Factor of 71022 and 71032?

Greatest common factor (GCF) of 71022 and 71032 is 2.

GCF(71022,71032) = 2

We will now calculate the prime factors of 71022 and 71032, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71022 and 71032.

How to find the GCF of 71022 and 71032?

We will first find the prime factorization of 71022 and 71032. After we will calculate the factors of 71022 and 71032 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 71032

Prime factors of 71032 are 2, 13, 683. Prime factorization of 71032 in exponential form is:

71032 = 2³ × 13¹ × 683¹

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 71032

List of positive integer factors of 71032 that divides 71022 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 683, 1366, 2732, 5464, 8879, 17758, 35516

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71022 and 71032. The biggest common factor number is the GCF number.
So the greatest common factor 71022 and 71032 is 2.

Also check out the Least Common Multiple of 71022 and 71032