What is the Greatest Common Factor of 29722 and 29736?

Greatest common factor (GCF) of 29722 and 29736 is 14.

GCF(29722,29736) = 14

We will now calculate the prime factors of 29722 and 29736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 29722 and 29736.

How to find the GCF of 29722 and 29736?

We will first find the prime factorization of 29722 and 29736. After we will calculate the factors of 29722 and 29736 and find the biggest common factor number .

Step-1: Prime Factorization of 29722

Prime factors of 29722 are 2, 7, 11, 193. Prime factorization of 29722 in exponential form is:

29722 = 2¹ × 7¹ × 11¹ × 193¹

Step-2: Prime Factorization of 29736

Prime factors of 29736 are 2, 3, 7, 59. Prime factorization of 29736 in exponential form is:

29736 = 2³ × 3² × 7¹ × 59¹

Step-3: Factors of 29722

List of positive integer factors of 29722 that divides 29722 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 193, 386, 1351, 2123, 2702, 4246, 14861

Step-4: Factors of 29736

List of positive integer factors of 29736 that divides 29722 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 59, 63, 72, 84, 118, 126, 168, 177, 236, 252, 354, 413, 472, 504, 531, 708, 826, 1062, 1239, 1416, 1652, 2124, 2478, 3304, 3717, 4248, 4956, 7434, 9912, 14868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 29722 and 29736. The biggest common factor number is the GCF number.
So the greatest common factor 29722 and 29736 is 14.

Also check out the Least Common Multiple of 29722 and 29736