What is the Greatest Common Factor of 74258 and 74270?

Greatest common factor (GCF) of 74258 and 74270 is 2.

GCF(74258,74270) = 2

We will now calculate the prime factors of 74258 and 74270, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74258 and 74270.

How to find the GCF of 74258 and 74270?

We will first find the prime factorization of 74258 and 74270. After we will calculate the factors of 74258 and 74270 and find the biggest common factor number .

Step-1: Prime Factorization of 74258

Prime factors of 74258 are 2, 107, 347. Prime factorization of 74258 in exponential form is:

74258 = 2¹ × 107¹ × 347¹

Step-2: 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-3: Factors of 74258

List of positive integer factors of 74258 that divides 74258 without a remainder.

1, 2, 107, 214, 347, 694, 37129

Step-4: Factors of 74270

List of positive integer factors of 74270 that divides 74258 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74258 and 74270. The biggest common factor number is the GCF number.
So the greatest common factor 74258 and 74270 is 2.

Also check out the Least Common Multiple of 74258 and 74270