What is the Greatest Common Factor of 36302 and 36312?

Greatest common factor (GCF) of 36302 and 36312 is 2.

GCF(36302,36312) = 2

We will now calculate the prime factors of 36302 and 36312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36302 and 36312.

How to find the GCF of 36302 and 36312?

We will first find the prime factorization of 36302 and 36312. After we will calculate the factors of 36302 and 36312 and find the biggest common factor number .

Step-1: Prime Factorization of 36302

Prime factors of 36302 are 2, 7, 2593. Prime factorization of 36302 in exponential form is:

36302 = 2¹ × 7¹ × 2593¹

Step-2: Prime Factorization of 36312

Prime factors of 36312 are 2, 3, 17, 89. Prime factorization of 36312 in exponential form is:

36312 = 2³ × 3¹ × 17¹ × 89¹

Step-3: Factors of 36302

List of positive integer factors of 36302 that divides 36302 without a remainder.

1, 2, 7, 14, 2593, 5186, 18151

Step-4: Factors of 36312

List of positive integer factors of 36312 that divides 36302 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 89, 102, 136, 178, 204, 267, 356, 408, 534, 712, 1068, 1513, 2136, 3026, 4539, 6052, 9078, 12104, 18156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36302 and 36312. The biggest common factor number is the GCF number.
So the greatest common factor 36302 and 36312 is 2.

Also check out the Least Common Multiple of 36302 and 36312