What is the Greatest Common Factor of 75183 and 75202?

Greatest common factor (GCF) of 75183 and 75202 is 19.

GCF(75183,75202) = 19

We will now calculate the prime factors of 75183 and 75202, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75183 and 75202.

How to find the GCF of 75183 and 75202?

We will first find the prime factorization of 75183 and 75202. After we will calculate the factors of 75183 and 75202 and find the biggest common factor number .

Step-1: Prime Factorization of 75183

Prime factors of 75183 are 3, 19, 1319. Prime factorization of 75183 in exponential form is:

75183 = 3¹ × 19¹ × 1319¹

Step-2: Prime Factorization of 75202

Prime factors of 75202 are 2, 19, 1979. Prime factorization of 75202 in exponential form is:

75202 = 2¹ × 19¹ × 1979¹

Step-3: Factors of 75183

List of positive integer factors of 75183 that divides 75183 without a remainder.

1, 3, 19, 57, 1319, 3957, 25061

Step-4: Factors of 75202

List of positive integer factors of 75202 that divides 75183 without a remainder.

1, 2, 19, 38, 1979, 3958, 37601

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75183 and 75202. The biggest common factor number is the GCF number.
So the greatest common factor 75183 and 75202 is 19.

Also check out the Least Common Multiple of 75183 and 75202