What is the Greatest Common Factor of 61402 and 61408?

Greatest common factor (GCF) of 61402 and 61408 is 2.

GCF(61402,61408) = 2

We will now calculate the prime factors of 61402 and 61408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 61402 and 61408.

How to find the GCF of 61402 and 61408?

We will first find the prime factorization of 61402 and 61408. After we will calculate the factors of 61402 and 61408 and find the biggest common factor number .

Step-1: Prime Factorization of 61402

Prime factors of 61402 are 2, 11, 2791. Prime factorization of 61402 in exponential form is:

61402 = 2¹ × 11¹ × 2791¹

Step-2: Prime Factorization of 61408

Prime factors of 61408 are 2, 19, 101. Prime factorization of 61408 in exponential form is:

61408 = 2⁵ × 19¹ × 101¹

Step-3: Factors of 61402

List of positive integer factors of 61402 that divides 61402 without a remainder.

1, 2, 11, 22, 2791, 5582, 30701

Step-4: Factors of 61408

List of positive integer factors of 61408 that divides 61402 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 101, 152, 202, 304, 404, 608, 808, 1616, 1919, 3232, 3838, 7676, 15352, 30704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 61402 and 61408. The biggest common factor number is the GCF number.
So the greatest common factor 61402 and 61408 is 2.

Also check out the Least Common Multiple of 61402 and 61408