What is the Greatest Common Factor of 53278 and 53298?

Greatest common factor (GCF) of 53278 and 53298 is 2.

GCF(53278,53298) = 2

We will now calculate the prime factors of 53278 and 53298, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 53278 and 53298.

How to find the GCF of 53278 and 53298?

We will first find the prime factorization of 53278 and 53298. After we will calculate the factors of 53278 and 53298 and find the biggest common factor number .

Step-1: Prime Factorization of 53278

Prime factors of 53278 are 2, 17, 1567. Prime factorization of 53278 in exponential form is:

53278 = 2¹ × 17¹ × 1567¹

Step-2: Prime Factorization of 53298

Prime factors of 53298 are 2, 3, 7, 47. Prime factorization of 53298 in exponential form is:

53298 = 2¹ × 3⁴ × 7¹ × 47¹

Step-3: Factors of 53278

List of positive integer factors of 53278 that divides 53278 without a remainder.

1, 2, 17, 34, 1567, 3134, 26639

Step-4: Factors of 53298

List of positive integer factors of 53298 that divides 53278 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 47, 54, 63, 81, 94, 126, 141, 162, 189, 282, 329, 378, 423, 567, 658, 846, 987, 1134, 1269, 1974, 2538, 2961, 3807, 5922, 7614, 8883, 17766, 26649

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 53278 and 53298. The biggest common factor number is the GCF number.
So the greatest common factor 53278 and 53298 is 2.

Also check out the Least Common Multiple of 53278 and 53298