What is the Greatest Common Factor of 71003 and 71022?

Greatest common factor (GCF) of 71003 and 71022 is 19.

GCF(71003,71022) = 19

We will now calculate the prime factors of 71003 and 71022, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71003 and 71022.

How to find the GCF of 71003 and 71022?

We will first find the prime factorization of 71003 and 71022. After we will calculate the factors of 71003 and 71022 and find the biggest common factor number .

Step-1: Prime Factorization of 71003

Prime factors of 71003 are 19, 37, 101. Prime factorization of 71003 in exponential form is:

71003 = 19¹ × 37¹ × 101¹

Step-2: 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-3: Factors of 71003

List of positive integer factors of 71003 that divides 71003 without a remainder.

1, 19, 37, 101, 703, 1919, 3737

Step-4: Factors of 71022

List of positive integer factors of 71022 that divides 71003 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71003 and 71022. The biggest common factor number is the GCF number.
So the greatest common factor 71003 and 71022 is 19.

Also check out the Least Common Multiple of 71003 and 71022