What is the Greatest Common Factor of 35272 and 35282?

Greatest common factor (GCF) of 35272 and 35282 is 2.

GCF(35272,35282) = 2

We will now calculate the prime factors of 35272 and 35282, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35272 and 35282.

How to find the GCF of 35272 and 35282?

We will first find the prime factorization of 35272 and 35282. After we will calculate the factors of 35272 and 35282 and find the biggest common factor number .

Step-1: Prime Factorization of 35272

Prime factors of 35272 are 2, 4409. Prime factorization of 35272 in exponential form is:

35272 = 2³ × 4409¹

Step-2: Prime Factorization of 35282

Prime factors of 35282 are 2, 13, 23, 59. Prime factorization of 35282 in exponential form is:

35282 = 2¹ × 13¹ × 23¹ × 59¹

Step-3: Factors of 35272

List of positive integer factors of 35272 that divides 35272 without a remainder.

1, 2, 4, 8, 4409, 8818, 17636

Step-4: Factors of 35282

List of positive integer factors of 35282 that divides 35272 without a remainder.

1, 2, 13, 23, 26, 46, 59, 118, 299, 598, 767, 1357, 1534, 2714, 17641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35272 and 35282. The biggest common factor number is the GCF number.
So the greatest common factor 35272 and 35282 is 2.

Also check out the Least Common Multiple of 35272 and 35282