What is the Greatest Common Factor of 35262 and 35274?

Greatest common factor (GCF) of 35262 and 35274 is 6.

GCF(35262,35274) = 6

We will now calculate the prime factors of 35262 and 35274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35262 and 35274.

How to find the GCF of 35262 and 35274?

We will first find the prime factorization of 35262 and 35274. After we will calculate the factors of 35262 and 35274 and find the biggest common factor number .

Step-1: Prime Factorization of 35262

Prime factors of 35262 are 2, 3, 653. Prime factorization of 35262 in exponential form is:

35262 = 2¹ × 3³ × 653¹

Step-2: Prime Factorization of 35274

Prime factors of 35274 are 2, 3, 5879. Prime factorization of 35274 in exponential form is:

35274 = 2¹ × 3¹ × 5879¹

Step-3: Factors of 35262

List of positive integer factors of 35262 that divides 35262 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 653, 1306, 1959, 3918, 5877, 11754, 17631

Step-4: Factors of 35274

List of positive integer factors of 35274 that divides 35262 without a remainder.

1, 2, 3, 6, 5879, 11758, 17637

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35262 and 35274. The biggest common factor number is the GCF number.
So the greatest common factor 35262 and 35274 is 6.

Also check out the Least Common Multiple of 35262 and 35274