What is the Greatest Common Factor of 35364 and 35373?

Greatest common factor (GCF) of 35364 and 35373 is 3.

GCF(35364,35373) = 3

We will now calculate the prime factors of 35364 and 35373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35364 and 35373.

How to find the GCF of 35364 and 35373?

We will first find the prime factorization of 35364 and 35373. After we will calculate the factors of 35364 and 35373 and find the biggest common factor number .

Step-1: Prime Factorization of 35364

Prime factors of 35364 are 2, 3, 7, 421. Prime factorization of 35364 in exponential form is:

35364 = 2² × 3¹ × 7¹ × 421¹

Step-2: Prime Factorization of 35373

Prime factors of 35373 are 3, 13, 907. Prime factorization of 35373 in exponential form is:

35373 = 3¹ × 13¹ × 907¹

Step-3: Factors of 35364

List of positive integer factors of 35364 that divides 35364 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 421, 842, 1263, 1684, 2526, 2947, 5052, 5894, 8841, 11788, 17682

Step-4: Factors of 35373

List of positive integer factors of 35373 that divides 35364 without a remainder.

1, 3, 13, 39, 907, 2721, 11791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35364 and 35373. The biggest common factor number is the GCF number.
So the greatest common factor 35364 and 35373 is 3.

Also check out the Least Common Multiple of 35364 and 35373