What is the Greatest Common Factor of 35322 and 35336?

Greatest common factor (GCF) of 35322 and 35336 is 14.

GCF(35322,35336) = 14

We will now calculate the prime factors of 35322 and 35336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35322 and 35336.

How to find the GCF of 35322 and 35336?

We will first find the prime factorization of 35322 and 35336. After we will calculate the factors of 35322 and 35336 and find the biggest common factor number .

Step-1: Prime Factorization of 35322

Prime factors of 35322 are 2, 3, 7, 29. Prime factorization of 35322 in exponential form is:

35322 = 2¹ × 3¹ × 7¹ × 29²

Step-2: Prime Factorization of 35336

Prime factors of 35336 are 2, 7, 631. Prime factorization of 35336 in exponential form is:

35336 = 2³ × 7¹ × 631¹

Step-3: Factors of 35322

List of positive integer factors of 35322 that divides 35322 without a remainder.

1, 2, 3, 6, 7, 14, 21, 29, 42, 58, 87, 174, 203, 406, 609, 841, 1218, 1682, 2523, 5046, 5887, 11774, 17661

Step-4: Factors of 35336

List of positive integer factors of 35336 that divides 35322 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 631, 1262, 2524, 4417, 5048, 8834, 17668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35322 and 35336. The biggest common factor number is the GCF number.
So the greatest common factor 35322 and 35336 is 14.

Also check out the Least Common Multiple of 35322 and 35336