What is the Greatest Common Factor of 49826 and 49840?

Greatest common factor (GCF) of 49826 and 49840 is 14.

GCF(49826,49840) = 14

We will now calculate the prime factors of 49826 and 49840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49826 and 49840.

How to find the GCF of 49826 and 49840?

We will first find the prime factorization of 49826 and 49840. After we will calculate the factors of 49826 and 49840 and find the biggest common factor number .

Step-1: Prime Factorization of 49826

Prime factors of 49826 are 2, 7, 3559. Prime factorization of 49826 in exponential form is:

49826 = 2¹ × 7¹ × 3559¹

Step-2: Prime Factorization of 49840

Prime factors of 49840 are 2, 5, 7, 89. Prime factorization of 49840 in exponential form is:

49840 = 2⁴ × 5¹ × 7¹ × 89¹

Step-3: Factors of 49826

List of positive integer factors of 49826 that divides 49826 without a remainder.

1, 2, 7, 14, 3559, 7118, 24913

Step-4: Factors of 49840

List of positive integer factors of 49840 that divides 49826 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 89, 112, 140, 178, 280, 356, 445, 560, 623, 712, 890, 1246, 1424, 1780, 2492, 3115, 3560, 4984, 6230, 7120, 9968, 12460, 24920

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49826 and 49840. The biggest common factor number is the GCF number.
So the greatest common factor 49826 and 49840 is 14.

Also check out the Least Common Multiple of 49826 and 49840