What is the Greatest Common Factor of 29534 and 29546?

Greatest common factor (GCF) of 29534 and 29546 is 2.

GCF(29534,29546) = 2

We will now calculate the prime factors of 29534 and 29546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29534 and 29546.

How to find the GCF of 29534 and 29546?

We will first find the prime factorization of 29534 and 29546. After we will calculate the factors of 29534 and 29546 and find the biggest common factor number .

Step-1: Prime Factorization of 29534

Prime factors of 29534 are 2, 14767. Prime factorization of 29534 in exponential form is:

29534 = 2¹ × 14767¹

Step-2: Prime Factorization of 29546

Prime factors of 29546 are 2, 11, 17, 79. Prime factorization of 29546 in exponential form is:

29546 = 2¹ × 11¹ × 17¹ × 79¹

Step-3: Factors of 29534

List of positive integer factors of 29534 that divides 29534 without a remainder.

1, 2, 14767

Step-4: Factors of 29546

List of positive integer factors of 29546 that divides 29534 without a remainder.

1, 2, 11, 17, 22, 34, 79, 158, 187, 374, 869, 1343, 1738, 2686, 14773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29534 and 29546. The biggest common factor number is the GCF number.
So the greatest common factor 29534 and 29546 is 2.

Also check out the Least Common Multiple of 29534 and 29546