What is the Greatest Common Factor of 61490 and 61494?

Greatest common factor (GCF) of 61490 and 61494 is 2.

GCF(61490,61494) = 2

We will now calculate the prime factors of 61490 and 61494, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61490 and 61494.

How to find the GCF of 61490 and 61494?

We will first find the prime factorization of 61490 and 61494. After we will calculate the factors of 61490 and 61494 and find the biggest common factor number .

Step-1: Prime Factorization of 61490

Prime factors of 61490 are 2, 5, 11, 13, 43. Prime factorization of 61490 in exponential form is:

61490 = 2¹ × 5¹ × 11¹ × 13¹ × 43¹

Step-2: Prime Factorization of 61494

Prime factors of 61494 are 2, 3, 37, 277. Prime factorization of 61494 in exponential form is:

61494 = 2¹ × 3¹ × 37¹ × 277¹

Step-3: Factors of 61490

List of positive integer factors of 61490 that divides 61490 without a remainder.

1, 2, 5, 10, 11, 13, 22, 26, 43, 55, 65, 86, 110, 130, 143, 215, 286, 430, 473, 559, 715, 946, 1118, 1430, 2365, 2795, 4730, 5590, 6149, 12298, 30745

Step-4: Factors of 61494

List of positive integer factors of 61494 that divides 61490 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222, 277, 554, 831, 1662, 10249, 20498, 30747

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61490 and 61494. The biggest common factor number is the GCF number.
So the greatest common factor 61490 and 61494 is 2.

Also check out the Least Common Multiple of 61490 and 61494