What is the Greatest Common Factor of 71354 and 71370?

Greatest common factor (GCF) of 71354 and 71370 is 2.

GCF(71354,71370) = 2

We will now calculate the prime factors of 71354 and 71370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71354 and 71370.

How to find the GCF of 71354 and 71370?

We will first find the prime factorization of 71354 and 71370. After we will calculate the factors of 71354 and 71370 and find the biggest common factor number .

Step-1: Prime Factorization of 71354

Prime factors of 71354 are 2, 35677. Prime factorization of 71354 in exponential form is:

71354 = 2¹ × 35677¹

Step-2: Prime Factorization of 71370

Prime factors of 71370 are 2, 3, 5, 13, 61. Prime factorization of 71370 in exponential form is:

71370 = 2¹ × 3² × 5¹ × 13¹ × 61¹

Step-3: Factors of 71354

List of positive integer factors of 71354 that divides 71354 without a remainder.

1, 2, 35677

Step-4: Factors of 71370

List of positive integer factors of 71370 that divides 71354 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 39, 45, 61, 65, 78, 90, 117, 122, 130, 183, 195, 234, 305, 366, 390, 549, 585, 610, 793, 915, 1098, 1170, 1586, 1830, 2379, 2745, 3965, 4758, 5490, 7137, 7930, 11895, 14274, 23790, 35685

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71354 and 71370. The biggest common factor number is the GCF number.
So the greatest common factor 71354 and 71370 is 2.

Also check out the Least Common Multiple of 71354 and 71370