What is the Greatest Common Factor of 35852 and 35868?

Greatest common factor (GCF) of 35852 and 35868 is 4.

GCF(35852,35868) = 4

We will now calculate the prime factors of 35852 and 35868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35852 and 35868.

How to find the GCF of 35852 and 35868?

We will first find the prime factorization of 35852 and 35868. After we will calculate the factors of 35852 and 35868 and find the biggest common factor number .

Step-1: Prime Factorization of 35852

Prime factors of 35852 are 2, 8963. Prime factorization of 35852 in exponential form is:

35852 = 2² × 8963¹

Step-2: Prime Factorization of 35868

Prime factors of 35868 are 2, 3, 7, 61. Prime factorization of 35868 in exponential form is:

35868 = 2² × 3¹ × 7² × 61¹

Step-3: Factors of 35852

List of positive integer factors of 35852 that divides 35852 without a remainder.

1, 2, 4, 8963, 17926

Step-4: Factors of 35868

List of positive integer factors of 35868 that divides 35852 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 61, 84, 98, 122, 147, 183, 196, 244, 294, 366, 427, 588, 732, 854, 1281, 1708, 2562, 2989, 5124, 5978, 8967, 11956, 17934

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35852 and 35868. The biggest common factor number is the GCF number.
So the greatest common factor 35852 and 35868 is 4.

Also check out the Least Common Multiple of 35852 and 35868