What is the Greatest Common Factor of 32942 and 32960?

Greatest common factor (GCF) of 32942 and 32960 is 2.

GCF(32942,32960) = 2

We will now calculate the prime factors of 32942 and 32960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32942 and 32960.

How to find the GCF of 32942 and 32960?

We will first find the prime factorization of 32942 and 32960. After we will calculate the factors of 32942 and 32960 and find the biggest common factor number .

Step-1: Prime Factorization of 32942

Prime factors of 32942 are 2, 7, 13, 181. Prime factorization of 32942 in exponential form is:

32942 = 2¹ × 7¹ × 13¹ × 181¹

Step-2: Prime Factorization of 32960

Prime factors of 32960 are 2, 5, 103. Prime factorization of 32960 in exponential form is:

32960 = 2⁶ × 5¹ × 103¹

Step-3: Factors of 32942

List of positive integer factors of 32942 that divides 32942 without a remainder.

1, 2, 7, 13, 14, 26, 91, 181, 182, 362, 1267, 2353, 2534, 4706, 16471

Step-4: Factors of 32960

List of positive integer factors of 32960 that divides 32942 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 103, 160, 206, 320, 412, 515, 824, 1030, 1648, 2060, 3296, 4120, 6592, 8240, 16480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32942 and 32960. The biggest common factor number is the GCF number.
So the greatest common factor 32942 and 32960 is 2.

Also check out the Least Common Multiple of 32942 and 32960