What is the Greatest Common Factor of 35604 and 35624?

Greatest common factor (GCF) of 35604 and 35624 is 4.

GCF(35604,35624) = 4

We will now calculate the prime factors of 35604 and 35624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35604 and 35624.

How to find the GCF of 35604 and 35624?

We will first find the prime factorization of 35604 and 35624. After we will calculate the factors of 35604 and 35624 and find the biggest common factor number .

Step-1: Prime Factorization of 35604

Prime factors of 35604 are 2, 3, 23, 43. Prime factorization of 35604 in exponential form is:

35604 = 2² × 3² × 23¹ × 43¹

Step-2: Prime Factorization of 35624

Prime factors of 35624 are 2, 61, 73. Prime factorization of 35624 in exponential form is:

35624 = 2³ × 61¹ × 73¹

Step-3: Factors of 35604

List of positive integer factors of 35604 that divides 35604 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 43, 46, 69, 86, 92, 129, 138, 172, 207, 258, 276, 387, 414, 516, 774, 828, 989, 1548, 1978, 2967, 3956, 5934, 8901, 11868, 17802

Step-4: Factors of 35624

List of positive integer factors of 35624 that divides 35604 without a remainder.

1, 2, 4, 8, 61, 73, 122, 146, 244, 292, 488, 584, 4453, 8906, 17812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35604 and 35624. The biggest common factor number is the GCF number.
So the greatest common factor 35604 and 35624 is 4.

Also check out the Least Common Multiple of 35604 and 35624