What is the Greatest Common Factor of 74270 and 74286?

Greatest common factor (GCF) of 74270 and 74286 is 2.

GCF(74270,74286) = 2

We will now calculate the prime factors of 74270 and 74286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74270 and 74286.

How to find the GCF of 74270 and 74286?

We will first find the prime factorization of 74270 and 74286. After we will calculate the factors of 74270 and 74286 and find the biggest common factor number .

Step-1: Prime Factorization of 74270

Prime factors of 74270 are 2, 5, 7, 1061. Prime factorization of 74270 in exponential form is:

74270 = 2¹ × 5¹ × 7¹ × 1061¹

Step-2: Prime Factorization of 74286

Prime factors of 74286 are 2, 3, 4127. Prime factorization of 74286 in exponential form is:

74286 = 2¹ × 3² × 4127¹

Step-3: Factors of 74270

List of positive integer factors of 74270 that divides 74270 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1061, 2122, 5305, 7427, 10610, 14854, 37135

Step-4: Factors of 74286

List of positive integer factors of 74286 that divides 74270 without a remainder.

1, 2, 3, 6, 9, 18, 4127, 8254, 12381, 24762, 37143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74270 and 74286. The biggest common factor number is the GCF number.
So the greatest common factor 74270 and 74286 is 2.

Also check out the Least Common Multiple of 74270 and 74286