What is the Greatest Common Factor of 52290 and 52294?

Greatest common factor (GCF) of 52290 and 52294 is 2.

GCF(52290,52294) = 2

We will now calculate the prime factors of 52290 and 52294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52290 and 52294.

How to find the GCF of 52290 and 52294?

We will first find the prime factorization of 52290 and 52294. After we will calculate the factors of 52290 and 52294 and find the biggest common factor number .

Step-1: Prime Factorization of 52290

Prime factors of 52290 are 2, 3, 5, 7, 83. Prime factorization of 52290 in exponential form is:

52290 = 2¹ × 3² × 5¹ × 7¹ × 83¹

Step-2: Prime Factorization of 52294

Prime factors of 52294 are 2, 11, 2377. Prime factorization of 52294 in exponential form is:

52294 = 2¹ × 11¹ × 2377¹

Step-3: Factors of 52290

List of positive integer factors of 52290 that divides 52290 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 83, 90, 105, 126, 166, 210, 249, 315, 415, 498, 581, 630, 747, 830, 1162, 1245, 1494, 1743, 2490, 2905, 3486, 3735, 5229, 5810, 7470, 8715, 10458, 17430, 26145

Step-4: Factors of 52294

List of positive integer factors of 52294 that divides 52290 without a remainder.

1, 2, 11, 22, 2377, 4754, 26147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52290 and 52294. The biggest common factor number is the GCF number.
So the greatest common factor 52290 and 52294 is 2.

Also check out the Least Common Multiple of 52290 and 52294