What is the Greatest Common Factor of 49840 and 49854?

Greatest common factor (GCF) of 49840 and 49854 is 14.

GCF(49840,49854) = 14

We will now calculate the prime factors of 49840 and 49854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49840 and 49854.

How to find the GCF of 49840 and 49854?

We will first find the prime factorization of 49840 and 49854. After we will calculate the factors of 49840 and 49854 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 49854

Prime factors of 49854 are 2, 3, 7, 1187. Prime factorization of 49854 in exponential form is:

49854 = 2¹ × 3¹ × 7¹ × 1187¹

Step-3: Factors of 49840

List of positive integer factors of 49840 that divides 49840 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

Step-4: Factors of 49854

List of positive integer factors of 49854 that divides 49840 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1187, 2374, 3561, 7122, 8309, 16618, 24927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49840 and 49854. The biggest common factor number is the GCF number.
So the greatest common factor 49840 and 49854 is 14.

Also check out the Least Common Multiple of 49840 and 49854